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On approximation properties of closed sets in Banach spaces and the characterization of strongly convex spaces. (English. Russian original) Zbl 0458.41027
Sov. Math., Dokl. 21, 418-422 (1980); translation from Dokl. Akad. Nauk SSSR 251, 276-280 (1980).

MSC:
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A52 Uniqueness of best approximation
41A50 Best approximation, Chebyshev systems
46B20 Geometry and structure of normed linear spaces
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